Question

Help please !!!!!!!!!!!!!!!!!!!!!

Answer 1

Answer:

The last one

Step-by-step explanation:

volume is v= $\pi r^{2} h$ . this means volume is mathematical number pi, times the (radius squared), times the height. the radius is marked at the yellow line, and the height on the side. this means you would have v = $\pi$$(x+2)^{2}$$(3x+8)$

first, lets work out $(x+2)^{2}$. we can rewrite this as (x+2)(x+2). we are going to use a system called FOIL. this stands for First Outside Inside Last. This means we are going to take the first number from both and multiply them together, then the outside, inside, and last. so, for first, we will multiply x and x and then we have $x^{2}$, for outside we multiply x and 2 and we get $2x$, for inside we multiply 2 and x and we get $2x$, and for last we multiply 2 and 2 and we get $4$. then we add all these together. $x^{2} + 2x + 2x + 4$. then simplify like terms to get

$x^{2} + 4x + 4$. now, we can't forget about our times $\pi$ and (3x+8)

this means we have to multiply $x^{2} + 4x + 4$ by those two.

it would look like this: ($x^{2} + 4x + 4$)(3x+8)$\pi$

so now we are going to multiply the other two sets of parentheses

we multiply each number from the first set to each number in the second set.